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How do you convert rev/s to rad/sec?

Answer
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Hint: We have to remember that one revolution takes a complete circle. That is, one revolution takes an angle of 2πradians or 360.

Formula used: 1rev=2πrad.

Complete step-by-step answer:
We know that 1rev=2πrad.
Here we are assigned units of angular velocity in the question.
1rev/s implies that it takes 1secto complete 1rev.
it takes 1secto complete 2πrad.
1rev/s=2πrad/sec , which is our required relation.
Approximating π3.14, we can also write the relation as follows:
1rev/s=2πrad/sec
=2×3.14rad/sec
 =6.28rad/sec
That is,
1rev/s=2πrad/sec=6.28rad/sec $$.

Additional information:
The time taken by an object to make a complete circular path is called a period. Completion of one revolution takes one period.
The units rev/s and rad/sec are mostly used in physics and engineering.
They are especially used in mechanics in the calculation of the power transmitted by a shaft.
These are also used in expressing the average angular velocity of planets around their stars. For example, the angular velocity of earth is approximately equal to 2.0×107rad/s.
Formally used unit of angular velocity instead of rev/sis rev/min.

Note: The formal definition of radian per second is as follows:
1. “Is the change in orientation of an object, in radians, every second”.
2. While revolution per second is “the number of turns in one second”.
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